Answer: 800 miles
Step-by-step explanation:
Let the actual distance between City C and City D be represented by x.
The information given in the question can be formed into an equation as:
1.8 feet / 2.88 feet = 500 miles / x
Cross multiply
1.8 × x = 500 × 2.88
1.8x = 1440
x = 1440/1.8
x = 800
Therefore, the actual distance between City C and City D is 800 miles.
If AOC and BOD are vertical angles, the value of x is x = -6.5
<h3>How to determine the value of x?</h3>
The angles are given as:
m AOC = 26
m BOD = (2x+39).
From the question, we have
AOC and BOD are vertical angles
Vertical angles are equal.
So, we have:
AOC = BOD
Substitute the known values in the above equation
2x + 39 = 26
Subtract 39 from both sides
2x = -13
Divide bot sides by 2
x = -6.5
Hence, if AOC and BOD are vertical angles, the value of x is x = -6.5
Read more about vertical angles at
brainly.com/question/14362353
#SPJ1
A composite function combines two or more function to form a new one.
The value of f(g(3)) is ![\mathbf{f(g(3)) = -16}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28g%283%29%29%20%3D%20-16%7D)
<em>The graph of f(x) is not given, so I will provide a general explanation.</em>
The given parameter is:
![\mathbf{g(x) = -2x - 5}](https://tex.z-dn.net/?f=%5Cmathbf%7Bg%28x%29%20%3D%20-2x%20-%205%7D)
To calculate f(g(3)), we start by calculating g(3)
So, we have:
![\mathbf{g(3) = -2 \times 3 - 5}](https://tex.z-dn.net/?f=%5Cmathbf%7Bg%283%29%20%3D%20-2%20%5Ctimes%203%20-%205%7D)
![\mathbf{g(3) = -6 - 5}](https://tex.z-dn.net/?f=%5Cmathbf%7Bg%283%29%20%3D%20-6%20-%205%7D)
![\mathbf{g(3) = -11}](https://tex.z-dn.net/?f=%5Cmathbf%7Bg%283%29%20%3D%20-11%7D)
f(g(3)) becomes
![\mathbf{f(g(3)) = f(-11)}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28g%283%29%29%20%3D%20f%28-11%29%7D)
The next step is to check the graph of f(x) for the value of f(-11).
Using the attached graph,
![\mathbf{f(-11) = -16}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28-11%29%20%3D%20-16%7D)
Hence:
![\mathbf{f(g(3)) = -16}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28g%283%29%29%20%3D%20-16%7D)
Read more about composite functions at:
brainly.com/question/10830110
This is not possible. A triangle is either acute (all angles less than 90 degrees), right (one 90 degree angle), or obtuse (an angle with more than 90 degrees). There can not be an "acute right triangle."
Answer:
you can use :
cos(X) = ( 5^2 + 6.9^2-5^2) / (2*5*6.9)
use caculator shift cos of this